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balu736 [363]
3 years ago
11

He park trail is 10x^2+4x+2 miles long. The hiker has traveled 5x-1 miles. How much farther does the hiker need to travel to get

to the end of the trail
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
5 0

Answer:

10x^2-x+3 miles.

Step-by-step explanation:

It is given that,

Total length of park trail = 10x^2+4x+2 miles

Total length traveled by hiker = 5x-1 miles

We need to find the length of trail hiker need to travel to get to the end of the trail.

Required length =10x^2+4x+2-(5x-1)

               =10x^2+4x+2-5x+1

               =10x^2+(4x-5x)+(2+1)

               =10x^2-x+3

Therefore, hiker need to travel 10x^2-x+3 miles to get to the end of the trail.

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Given function : f(x) = 4x^3 -12x^2 + 40x + 12.

We need to find the values of f(-2).

In order to find the value of f(-2), we need to plug x=-2 in the given fucntion f(x) = 4x^3 -12x^2 + 40x + 12.

Replacing x by -2, we get

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We get (-2)^2 = -2 *-2*-2=-8 and (-2)^2 = -2 * -2 = 4.

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f(-2) = -160 +12.

f(-2) = -148.

Therefore, correct option would be option D. That is  f(-2)=-148.                



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